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Maximum Bottleneck Paths

Maximum Bottleneck Paths

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Maximum Bottleneck Paths. Maximum Bottleneck Path. p q wt -------. index. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. parent. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. weight. . . . . . . . . . . 8. 0. 6. 1. 4. 3. 7. 5. 2. 9. Maximum Bottleneck Path. p q wt - PowerPoint PPT Presentation

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Page 1: Maximum Bottleneck Paths

Maximum Bottleneck Paths

Page 2: Maximum Bottleneck Paths

2

Maximum Bottleneck Path

0 4 63

2 59

1

8

p q wt------- 0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

indexparentweight

7

Page 3: Maximum Bottleneck Paths

3

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 9

indexparentweight

p q wt-------3 4 14

7

Page 4: Maximum Bottleneck Paths

4

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 4 5 6 7 8 9 14

indexparentweight

p q wt-------3 4 14

14

7

Page 5: Maximum Bottleneck Paths

5

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 4 5 6 7 8 9 14

indexparentweight

p q wt-------3 4 144 9 6

14

7

Page 6: Maximum Bottleneck Paths

6

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 9 5 6 7 8 9 14 6

indexparentweight

p q wt-------3 4 144 9 6

14

67

Page 7: Maximum Bottleneck Paths

7

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 9 5 6 7 8 9 14 6

indexparentweight

p q wt-------3 4 144 9 68 0 7

14

67

Page 8: Maximum Bottleneck Paths

8

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 9 5 6 7 0 9 14 6 7

indexparentweight

p q wt-------3 4 144 9 68 0 7

14

6

7

7

Page 9: Maximum Bottleneck Paths

9

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 2 4 9 5 6 7 0 9 14 6 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 44

14

6

7

7

Page 10: Maximum Bottleneck Paths

10

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 9 5 6 7 0 9 44 14 6 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 44

14

6

7

44 7

Page 11: Maximum Bottleneck Paths

11

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 9 5 6 7 0 9 44 14 6 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 12

14

6

7

44 7

Page 12: Maximum Bottleneck Paths

12

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 9 6 6 7 0 9 44 14 6 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 12

14

6

7

44 127

Page 13: Maximum Bottleneck Paths

13

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 9 6 6 7 0 9 44 14 6 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 9

14

6

7

44 127

Page 14: Maximum Bottleneck Paths

14

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 9 6 6 7 0 9 44 14 6 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 9

14

6

7

44 127 delete4-9

reverse2-3-4

Page 15: Maximum Bottleneck Paths

15

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 6 6 7 0 9 9 44 14 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 9

14

7

44 12

9

7

Page 16: Maximum Bottleneck Paths

16

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 6 6 7 0 9 9 44 14 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 11

14

7

44 12

9

7

Page 17: Maximum Bottleneck Paths

17

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 6 6 7 0 9 9 44 14 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 11

14

7

44 12

9

7reverse

5-6

Page 18: Maximum Bottleneck Paths

18

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 9 5 7 0 9 9 44 14 11 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 11

14

7

44 12

9 11

7

Page 19: Maximum Bottleneck Paths

19

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 9 5 7 0 9 9 44 14 11 12 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 33

14

7

44 12

9 11

7

Page 20: Maximum Bottleneck Paths

20

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 9 5 3 0 9 9 44 14 11 12 33 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 33

14

7

44 12

9 11

733

Page 21: Maximum Bottleneck Paths

21

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 9 2 3 9 5 3 0 9 9 44 14 11 12 33 7

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 13

14

7

44 12

9 11

733

reverse4-3-2-9

Page 22: Maximum Bottleneck Paths

22

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 8 9 5 3 0 2 44 14 13 11 12 33 7 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 13

14

7

44 12

9 11

733

13

Page 23: Maximum Bottleneck Paths

23

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 8 9 5 3 0 2 44 14 13 11 12 33 7 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 17 14

7

44 12

9 11

733

13

delete6-5

Page 24: Maximum Bottleneck Paths

24

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 8 9 5 3 0 2 44 14 13 11 17 33 7 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 17 14

7

44 17

9 11

733

13

Page 25: Maximum Bottleneck Paths

25

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 8 9 5 3 0 2 44 14 13 11 17 33 7 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 10

14

7

44 17

9 11

733

13

Page 26: Maximum Bottleneck Paths

26

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 3 4 8 9 5 3 0 2 44 14 13 11 17 33 7 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 10

14

7

44 17

9 11

733

13

delete8-0

reverse0-8-4-3-2

Page 27: Maximum Bottleneck Paths

27

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 0 2 3 9 5 3 4 2 10 44 14 11 17 33 13 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 10

14

44 17

9 11

733

13

10

Page 28: Maximum Bottleneck Paths

28

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 90 1 0 2 3 9 5 3 4 2 10 44 14 11 17 33 13 9

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 106 1 22

14

44 17

9 11

733

13

10

reverse6-5-9-2-0

Page 29: Maximum Bottleneck Paths

29

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 92 1 9 2 3 6 1 3 4 5

10 9 44 14 17 22 33 13 11

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 106 1 22

14

44 17

9 11

733

13

10

22

Page 30: Maximum Bottleneck Paths

30

Maximum Bottleneck Path

0 4 63

2 59

1

8

0 1 2 3 4 5 6 7 8 92 1 9 2 3 6 1 3 4 5

10 9 44 14 17 22 33 13 11

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 106 1 225 8 4

14

44 17

9 11

733

13

10

22

Page 31: Maximum Bottleneck Paths

31

Maximum Bottleneck Path

0 4 63

2 599

1

8

710 44

14 22

33

13

11

0 1 2 3 4 5 6 7 8 92 1 9 2 3 6 1 3 4 5

10 9 44 14 17 22 33 13 11

indexparentweight

p q wt-------3 4 144 9 68 0 72 3 445 6 122 9 95 9 117 3 334 8 135 6 170 2 106 1 225 8 4

17

better path5-9-2-4-8